--- In harmonic_entropy@yahoogroups.com, "Haresh BAKSHI"
<hareshbakshi@h...> wrote:
> --- In harmonic_entropy@yahoogroups.com, "wallyesterpaulrus"
<wallyesterpaulrus@y...> wrote:
> ..............
>
> Hello Paul, thank you very much for your considered views on so
many questions. While I mull over your responses, I have the
following to add:
>
> >>>> (1) the larger the number of notes in a raga, the greater is
its
> > >Harmonic Entropy. Obviously, it follows that vivadi (omitted)
notes
> > >lower the Harmonic Entropy.
> >>
> > One could of course concoct a 'raga' with fewer notes that had a
> > larger average-over-time harmonic entropy than a 'raga' with more
> > notes, but I'm not sure if these could ever both be true Indian
> > ragas.
> > One would have to study a very wide range of examples to have
some
> > degree of certainty. >>>>
>
> Does not the statement (i) account for the pentatonic raga-s, for
>example, being so powerfully stable and dominant from "times
>immemorial", in all kinds of music?

I remember reading that none of the pentatonic raga-s correspond to
the usual major and minor pentatonic scales, even when everything is
approximated to 12-equal. Of course, some of the pentatonic raga-s
that are used may have even lower harmonic entropy than the usual
pentatonic scale no matter how the latter is oriented against the
drone . . .

>> >>>> (3) The greater the distance of the notes from the Sa
(tonic), the greater is the raga's Harmonic Entropy.
>> >>
>> > Are you speaking of linear pitch-distance? If so, this assertion
>> > would appear to be incorrect, unless backed up by some rather
>> > extraordinary evidence. On the face of it, I don't see how it
>could
>> > be correct. >>>>
>
>> If I read the graph correctly, for example, the Pa closer to Sa
>has much lower Harmonic Entropy than the Pa of the higher octave,
>farther away and right.

Pa appears in three different registers on the graph -- on the far
left, in the exact center, and on the far right. Either way, I have
difficulty seeing how you would arrive at this statement above, much
less the assertion (3) above . . .

> >>>> (8) The greater the use of vowels and consonants, the greater
the
> > >Harmonic Entropy.
> >>
> > greater . . . compared with what? >>>>
>
> greater than it would be if the alap was rendered only in "aa...",
> without the use of other vowels and consonants.

I don't see why that would be the case . . . probably "oo..."
or "u..." would be closer to a sine wave if that's what you had in
mind . . .

Trying,
Paul